TITLE: Explicit chain homotopy for the Alexander-Whitney, Eilenberg-Zilber pair
QUESTION [7 upvotes]: Let $A$ and $B$ be simplicial abelian groups, and let $N_\ast(-)$ denote the normalized chain complex functor.  Let
$$AW_{A,B}\colon N_\ast(A\otimes B)
\longrightarrow N_\ast(A)\otimes N_\ast(B)$$
and
$$ EZ_{A,B}\colon N_\ast(A)\otimes N_\ast(B)
\longrightarrow N_\ast(A\otimes B)$$
denote the Alexander-Whitney map
and the Eilenberg-Zilber map respectively.
Does anyone know of an explicit chain homotopy realizing 
$$EZ_{A,B}\circ AW_{A,B}\sim Id_{N_\ast(A\otimes B)}.$$
Motivation for its existence can be found in the comments of this question.

REPLY [8 votes]: You have it in page 7 of this paper.